SOLUTION: Hi I'm not getting the correct answer for the following problem, could you help me out, please? 33 is less than abs(11-(11/3)x) I got (-6, 12) but this is apparently incorrect.

Algebra ->  Absolute-value -> SOLUTION: Hi I'm not getting the correct answer for the following problem, could you help me out, please? 33 is less than abs(11-(11/3)x) I got (-6, 12) but this is apparently incorrect.      Log On


   

Question 908922: Hi I'm not getting the correct answer for the following problem, could you help me out, please?
33 is less than abs(11-(11/3)x)
I got (-6, 12) but this is apparently incorrect.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
33%3Cabs%2811-%2811%2F3%29x%29
33%3C11abs%281-%281%2F3%29x%29
33%2F11%3C11%2Aabs%281-%281%2F3%29x%29%2F11
3%3Cabs%281-%281%2F3%29x%29
That just for simplification, so easier to solve now.

Still more to simplify.
3%3Cabs%283%2F3-%281%2F3%29x%29
3%3Cabs%28%283-x%29%2F3%29
3%3C%281%2F3%29abs%283-x%29
highlight_green%289%3Cabs%283-x%29%2A1%29. (the factor of 1 unnecessary; only used for easier reading through the rendering outline)

Now, do you still need help with that?
Two conditions: 3-x%3E=0 and 3-x%3C0.

The results of that give highlight%28x%3C-6%29 OR highlight%28x%3E12%29, which are connected as a union; the solution set is BOTH of them.
You could say the solution set is (-infinity,-6) U (12,infinity).